Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a rule that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a rule that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the criteria for triangle congruence using SSS?

Back

SSS stands for Side-Side-Side, which states that if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for triangle congruence using AAS?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to determine congruence; more information is needed.

Tags

CCSS.8.G.A.2

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle; it is crucial in the SAS and ASA congruence criteria.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean if two triangles are not necessarily congruent?

Back

It means that there is not enough information to conclude that the triangles are congruent based on the given data.

Tags

CCSS.8.G.A.2

Front

What is the importance of knowing triangle congruence rules in geometry?

Back

Understanding triangle congruence rules helps in solving problems related to triangle properties, proving theorems, and applying geometric principles.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then their corresponding sides and angles are also congruent.

Tags

CCSS.8.G.A.2